Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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CONFORMABLE FRACTIONAL SENSE OF FOAM DRAINAGE EQUATION AND CONSTRUCTION OF ITS SOLUTIONS

  • DARVISHI, MOHAMMAD T. (DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, RAZI UNIVERSITY) ;
  • NAJAFI, MOHAMMAD (DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, RAZI UNIVERSITY) ;
  • SHIN, BYEONG-CHUN (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY)
  • Received : 2021.08.09
  • Accepted : 2021.09.16
  • Published : 2021.09.25
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Abstract

The modified F-expansion method is used to construct analytical solutions of the foam drainage equation with time- and space-fractional derivatives. The conformable derivatives are considered as spacial and temporal ones. As a result, some analytical exact solutions including kink, bright-dark soliton, periodic and rational solutions are obtained.

Keywords

Acknowledgement

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2013R1A1A2009687). The third author of this work was financially supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT and Future Planning(2017R1E1A1A03070059).

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